Calibrated Submanifolds

2018/10/19 by Jason D. Lotay, Lotay, Jason D. · 2 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1810.08709

openalex publication_date 2018/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G₂ and Spin(7) manifolds, and describe fundamental results and techniques in the field.

Cited by

• Non-squeezing and capacities for some calibrated geometries
• Some results on calibrated submanifolds in Euclidean space of cohomogeneity one and two

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